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Finding the Fourth Proportional to 23,709.63, 32,719.95 and 13,099.95

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Solution

The fourth proportional to 23,709.63, 32,719.95 and 13,099.95 is: 18,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.63 : 32,719.95 = 13,099.95 : x
  2. Step 2: Convert to fraction form
    23,709.63/32,719.95 = 13,099.95/x
  3. Step 3: Cross multiply
    23,709.63x = 32,719.95 × 13,099.95
  4. Step 4: Simplify right side
    23,709.63x = 428,629,709.00
  5. Step 5: Solve for x
    x = 428,629,709.00/23,709.63
  6. Step 6: Final answer
    x = 18,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.